Model Reduction via the Karhunen-Loeve Expansion Part II: Some Elementary Examples

Abstract

In Part II of this paper we present some elementary examples of distributed parameter system model reduction using the techniques described in Part I. In particular, we focus on using theKarhunen-Loeve expansion and Galerkin's method to formulated reducedorder models for a heat diffusion system and temperature field dynamicsin a Rapid Thermal Chemical Vapor Deposition reactor. Simulationresults are presented.